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Lesson: Discussing the Existence of a Limit

In this lesson, we discuss the existence of a limit. The function has a limit L at an input p when the value of the function f(x) gets too close to L as its input x gets close to p from both sides.

Worksheet: Discussing the Existence of a Limit • 28 Questions

Q1:

Determine , if it exists.

Q2:

Find .

Q3:

Suppose that What can be said about the existence of ?

AThe limit exists and equals .
BThe limit exists and equals 0.
CThe limit does not exist because .

Q4:

Discuss the existence of given

AThe limit does not exist because does not exist.
BThe limit does not exist because .
CThe limit exists and equals .
DThe limit exists and equals 20.

Q5:

Discuss the existence of given

AThe limit exists and equals .
BThe limit does not exist because both and exist, but are not equal.
CThe limit exists and equals 210.
DThe limit does not exist because exists, but does not exist.
EThe limit does not exist because exists, but does not exist.

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